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Mariulka [41]
3 years ago
6

Please answer this probability question.

Mathematics
1 answer:
Thepotemich [5.8K]3 years ago
5 0

Answer:

          \large\boxed{\large\boxed{1/9}}}

Explanation:

<u></u>

<u>1.  Sample space:</u>

Since the each die has 6 different possible outcomes, the number of ways that can the two dice land is 6 × 6 36

<u>2. Number of favorable outcomes:</u>

  • 1 + 1 = 2
  • 1 + 3 = 4
  • 2 + 2 = 4
  • 3 + 1 = 4

Those are a total of 4 different outcomes for the sum of the result rolled is 2 or 4.

<u>3. Probability:</u>

<u />

  • Probability = # favorable outcomes / # possible outcomes

  • Probability = 4 / 36 = 1 / 9

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Compute the value of the discriminant and give the number of real solutions of the Quadratic equation 3x^2+9x-1=0 PLSS HELPP
FrozenT [24]

Answer:

Discriminant = 93, two real roots/solutions

Step-by-step explanation:

Discriminant = b² - 4ac = (9)² - 4(3)(-1) = 81 + 12 = 93

Since 93>0, the quadratic equation has two real roots/solutions.

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Answer:

1.No

2.No

Step-by-step explanation:

5=x+5  x=10

5=10+5

5=15 is not solution

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3 years ago
What is the inverse of the relation {(-3, 5), (2, -2), (0, 1)}?
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{(-3,5), (2,-2),(0,1)}
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Option 2
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4 years ago
a cook needs 12 pounds of flour he wants to spend the least amount of money if a 2 pound bag costs $1.59 and a 5 pound bag costs
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He should buy two 5 pound bags and one 2 pound bag.
4 0
3 years ago
Read 2 more answers
Let f be a continuous function defined on the interval [0,1] such that f(0) = f(1). Show that there exists a number 0 &lt;= a &l
Leni [432]

Explanation:

In order to prove that affirmation, we define the function g over the interval [0, 1/2] with the formula g(x) = f(x+1/2)-f(x) .

If we evaluate g at the  endpoints we have

g(0) = f(1/2)-f(0) = f(1/2) - f(1) (because f(0) = f(1))  

g(1/2) = f(1) - f(1/2) = -g(0)

Since g(1/2) = -g(0), we have one chance out of three

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  • g(0) < 0 and g(1/2) > 0
  • g(0) = g(1/2) = 0

We will prove that g has a zero on [0,1/2]. If g(0) = 0, then it is trivial. If g(0) ≠ 0, then we are in one of the first two cases, and therefore g(0) * g(1/2) < 0. Since f is continuous, so is g. Bolzano's Theorem assures that there exists c in (0,1/2) such that g(c) = 0.  This proves that g has at least one zero on [0,1/2].

Let c be a 0 of g, then we have

0 = g(c) = f(c+1/2)-f(c)

Hence, f(c+1/2) = f(c) as we wanted.

5 0
3 years ago
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